IDEAS home Printed from https://ideas.repec.org/p/xrs/sfbmaa/97-32.html
   My bibliography  Save this paper

Risk-Value Efficient Portfolios and Asset Pricing

Author

Listed:
  • Franke, Guenther

    (Universität Konstanz)

  • Weber, Martin

    (Lehrstuhl für ABWL, Finanzwirtschaft, insb. Bankbetriebslehre)

Abstract

Portfolio choice is usually modelled by von Neumann-Morgenstern utility. Risk-value models are more general and permit the derivation of risk-value efficient frontiers. A behaviourally based risk measure with an endogenous or exogenous benchmark is used to derive effcient portfolios and to analyse the implied equilibrium asset pricing. In risk-value models a richer set of sharing rules is obtained than in a von Neumann-Morgenstern world. Linear sharing rules are obtained only for quadratic risk functions. If the risk function is modelled by a negative HARA-function, then sharing rules are convex or concave relative to each other. Hence, agents buy and sell portfolio insurance motivating trade in options. Asset pricing, however, is similar to that in a von Neumann-Morgenstern world.

Suggested Citation

  • Franke, Guenther & Weber, Martin, 1997. "Risk-Value Efficient Portfolios and Asset Pricing," Sonderforschungsbereich 504 Publications 97-32, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    • Handle: RePEc:xrs:sfbmaa:97-32
    Note: We like to thank Yakov Amihud, New York, Thomas Langer, Mannheim, James Smith, Duke University, Meir Stratman, Santa Barbara, and the members of the Finance seminar at Vienna University and Tel Aviv University for many helpful suggestions which have led to considerable improvement of the paper. Financial support from the Deutsche Forschungsgemeinschaft, SFB 504, at the University of Mannheim, is gratefully acknowledged.
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Benninga, Simon & Blume, Marshall E, 1985. "On the Optimality of Portfolio Insurance," Journal of Finance, American Finance Association, vol. 40(5), pages 1341-1352, December.
    2. Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    3. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    4. Brennan, M.J. & Solanki, R., 1981. "Optimal Portfolio Insurance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(3), pages 279-300, September.
    5. Wayne Y. Lee & Ramesh K. S. Rao, 1988. "Mean Lower Partial Moment Valuation and Lognormally Distributed Returns," Management Science, INFORMS, vol. 34(4), pages 446-453, April.
    6. Leland, Hayne E, 1980. "Who Should Buy Portfolio Insurance?," Journal of Finance, American Finance Association, vol. 35(2), pages 581-594, May.
    7. David C. Nachman, 1988. "Spanning and Completeness with Options," The Review of Financial Studies, Society for Financial Studies, vol. 1(3), pages 311-328.
    8. J. Tobin, 1958. "Liquidity Preference as Behavior Towards Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 65-86.
    9. Nielsen, Lars Tyge, 1992. "Positive Prices in CAPM," Journal of Finance, American Finance Association, vol. 47(2), pages 791-808, June.
    10. David E. Bell, 1988. "One-Switch Utility Functions and a Measure of Risk," Management Science, INFORMS, vol. 34(12), pages 1416-1424, December.
    11. Weber, Elke U. & Bottom, William P., 1990. "An empirical evaluation of the transitivity, monotonicity, accounting, and conjoint axioms for perceived risk," Organizational Behavior and Human Decision Processes, Elsevier, vol. 45(2), pages 253-275, April.
    12. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
    13. Jianmin Jia & James S. Dyer, 1996. "A Standard Measure of Risk and Risk-Value Models," Management Science, INFORMS, vol. 42(12), pages 1691-1705, December.
    14. Simon Benninga & Marshall Blume, "undated". "On the Optimality of Portfolio Insurance," Rodney L. White Center for Financial Research Working Papers 5-85, Wharton School Rodney L. White Center for Financial Research.
    15. Keller, L. Robin & Sarin, Rakesh K. & Weber, Martin, 1986. "Empirical investigation of some properties of the perceived riskiness of gambles," Organizational Behavior and Human Decision Processes, Elsevier, vol. 38(1), pages 114-130, August.
    16. Grossman, Sanford J & Zhou, Zhongquan, 1996. "Equilibrium Analysis of Portfolio Insurance," Journal of Finance, American Finance Association, vol. 51(4), pages 1379-1403, September.
    17. Harlow, W. V. & Rao, Ramesh K. S., 1989. "Asset Pricing in a Generalized Mean-Lower Partial Moment Framework: Theory and Evidence," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(3), pages 285-311, September.
    18. Bawa, Vijay S. & Lindenberg, Eric B., 1977. "Capital market equilibrium in a mean-lower partial moment framework," Journal of Financial Economics, Elsevier, vol. 5(2), pages 189-200, November.
    19. Rubinstein, Mark, 1974. "An aggregation theorem for securities markets," Journal of Financial Economics, Elsevier, vol. 1(3), pages 225-244, September.
    20. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    21. Simon Benninga & Marshall Blume, "undated". "On the Optimality of Portfolio Insurance," Rodney L. White Center for Financial Research Working Papers 05-85, Wharton School Rodney L. White Center for Financial Research.
    22. Franke, Günter & Stapleton, Richard C. & Subrahmanyam, Marti G., 1995. "Who buys and who sells options: The role and pricing of options in an economy with background risk," Discussion Papers, Series II 253, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
    23. Elke U. Weber & Richard A. Milliman, 1997. "Perceived Risk Attitudes: Relating Risk Perception to Risky Choice," Management Science, INFORMS, vol. 43(2), pages 123-144, February.
    24. Cass, David & Stiglitz, Joseph E., 1970. "The structure of investor preferences and asset returns, and separability in portfolio allocation: A contribution to the pure theory of mutual funds," Journal of Economic Theory, Elsevier, vol. 2(2), pages 122-160, June.
    25. Kraus, Alan & Litzenberger, Robert H, 1976. "Skewness Preference and the Valuation of Risk Assets," Journal of Finance, American Finance Association, vol. 31(4), pages 1085-1100, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Unser, Matthias, 2000. "Lower partial moments as measures of perceived risk: An experimental study," Journal of Economic Psychology, Elsevier, vol. 21(3), pages 253-280, June.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Franke, Günter & Weber, Martin, 2001. "Heterogeneity of Investors and Asset Pricing in a Risk-Value World," CoFE Discussion Papers 01/08, University of Konstanz, Center of Finance and Econometrics (CoFE).
    2. Franke, Gunter & Stapleton, Richard C. & Subrahmanyam, Marti G., 1998. "Who Buys and Who Sells Options: The Role of Options in an Economy with Background Risk," Journal of Economic Theory, Elsevier, vol. 82(1), pages 89-109, September.
    3. repec:ipg:wpaper:2014-330 is not listed on IDEAS
    4. Pedersen, Christian S., 2000. "Separating risk and return in the CAPM: A general utility-based model," European Journal of Operational Research, Elsevier, vol. 123(3), pages 628-639, June.
    5. Joel M. Vanden, 2006. "Portfolio Insurance And Volatility Regime Switching," Mathematical Finance, Wiley Blackwell, vol. 16(2), pages 387-417, April.
    6. Dangl, Thomas & Randl, Otto & Zechner, Josef, 2016. "Risk control in asset management: Motives and concepts," CFS Working Paper Series 546, Center for Financial Studies (CFS).
    7. Bertrand, Philippe & Prigent, Jean-luc, 2011. "Omega performance measure and portfolio insurance," Journal of Banking & Finance, Elsevier, vol. 35(7), pages 1811-1823, July.
    8. Franke, Günter & Stapleton, Richard C. & Subrahmanyam, Marti G., 1995. "Who buys and who sells options: The role and pricing of options in an economy with background risk," Discussion Papers, Series II 253, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
    9. Franke, Günter & Stapleton, Richard C. & Subrahmanyam, Marti G., 1992. "Idiosyncratic risk, sharing rules, and the theory of risk bearing," Discussion Papers, Series II 181, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
    10. Sami Attaoui & Vincent Lacoste, 2013. "A scenario-based description of optimal American capital guaranteed strategies," Finance, Presses universitaires de Grenoble, vol. 34(2), pages 65-119.
    11. Vohra, Suprita & Fabozzi, Frank J., 2019. "Effectiveness of developed and emerging market FX options in active currency risk management," Journal of International Money and Finance, Elsevier, vol. 96(C), pages 130-146.
    12. Boyle, Phelim & Tian, Weidong, 2008. "The design of equity-indexed annuities," Insurance: Mathematics and Economics, Elsevier, vol. 43(3), pages 303-315, December.
    13. Post, Thierry & van Vliet, Pim, 2006. "Downside risk and asset pricing," Journal of Banking & Finance, Elsevier, vol. 30(3), pages 823-849, March.
    14. Post, G.T., 2003. "Asset prices and omitted moments; A stochastic dominance analysis of market efficiency," ERIM Report Series Research in Management ERS-2003-017-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    15. Gary L. Trennepohl & James R. Booth & Hassan Tehranian, 1988. "An Empirical Analysis Of Insured Portfolio Strategies Using Listed Options," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 11(1), pages 1-12, March.
    16. Jacques Pézier & Johanna Scheller, 2011. "A Comprehensive Evaluation of Portfolio Insurance Strategies," ICMA Centre Discussion Papers in Finance icma-dp2011-15, Henley Business School, University of Reading.
    17. Arjen Siegmann & André Lucas, 2002. "Explaining Hedge Fund Investment Styles by Loss Aversion," Tinbergen Institute Discussion Papers 02-046/2, Tinbergen Institute.
    18. Pézier, Jacques & Scheller, Johanna, 2013. "Best portfolio insurance for long-term investment strategies in realistic conditions," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 263-274.
    19. Dipankar Mondal & N. Selvaraju, 2022. "Convexity, two-fund separation and asset ranking in a mean-LPM portfolio selection framework," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(1), pages 225-248, March.
    20. Bertrand, Philippe & Prigent, Jean-luc, 2016. "Equilibrium of financial derivative markets under portfolio insurance constraints," Economic Modelling, Elsevier, vol. 52(PA), pages 278-291.
    21. Brogan, Anita J. & Stidham Jr., Shaler, 2008. "Non-separation in the mean-lower-partial-moment portfolio optimization problem," European Journal of Operational Research, Elsevier, vol. 184(2), pages 701-710, January.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:xrs:sfbmaa:97-32. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Carsten Schmidt (email available below). General contact details of provider: https://edirc.repec.org/data/sfmande.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.